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A ball of radius 10 has a round hole of radius 3 drilled through its center. Find the volume of the resulting solid.
A very small spherical particle (on the order of 5 microns in diameter) is projected into still air with an initial velocity of ν0 m/sec, but its velocity decreases because of drag forces.
A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard. If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per foot,
Find the number of decibels for the power of the sound. Round to the nearest decibel.
Write down 2 equations to compute a and P, one when t=2 and the other when t= 6.
Find an equation of the tangent plane to the parametric surface x=-2rcos(theta), y=-3rsin(theta), z=r at the point (-2sqrt(2),-3sqrt(2),2) where r=2, theta=pi/4
Calculating Production and Material Consumption Rates, The Ottawa Coat company manufactures winter coats and spring jackets. The winter coat requires 4m of material while the spring jacket requires just 1m
Explain why you would use grouping when factoring 6x4 - 9x3 + 2xy - 3y and describe the steps in the process.
Using the table of information for differentiable functions f(x) and g(x) at x = 2 and x=3, determine the derivative below.
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
Probability : Expected Values and Probability Distributions - According to an automobile manufacturer, the company uses 3,000 lock-and-key combinations on it's vehicles
When a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 1 meters. What is the magnitude of the tensions at the end of the clothesline?
a box with no lid is created from a square of cardboard with a side length of 60 cm by cutting rectangles of length x by 2x from each corner (the extra side length of this square of 2x is folded over to create a double thickness side for added str..
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